As of what the first guest, *i* has four different stages. These stages are *i*, -1, -**i**, 1.Through these stages, we can see that **i** + 2**i**^{2} + 3**i**^{3} + 4**i**^{4} is equal to 2 - 2**i**. As we continue to 8**i**^{8}, the answer is 4 - 4**i**. We can see a pattern, which is that for each four stages, we get 2 - 2**i**, no matter what. 64 / 4 is 16, so therefore the answer is 16 * (2 - 2**i**), or **32 - 32***i*.